References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt152",{id:"formSmash:upper:j_idt152",widgetVar:"widget_formSmash_upper_j_idt152",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt153_j_idt156",{id:"formSmash:upper:j_idt153:j_idt156",widgetVar:"widget_formSmash_upper_j_idt153_j_idt156",target:"formSmash:upper:j_idt153:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Randomized quasi-Monte Carlo simulation of fast-ion thermalizationPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2012 (English)In: Computational Science & Discovery, ISSN 1749-4680, Vol. 5, no 1, 014010- p.Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Institute of Physics (IOP), 2012. Vol. 5, no 1, 014010- p.
##### Keyword [en]

Monte Carlo, quasi-Monte Carlo, low discrepancy sequence, variance reduction
##### National Category

Fusion, Plasma and Space Physics
##### Identifiers

URN: urn:nbn:se:kth:diva-91197DOI: 10.1088/1749-4699/5/1/014010ScopusID: 2-s2.0-84866342521OAI: oai:DiVA.org:kth-91197DiVA: diva2:508790
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt455",{id:"formSmash:j_idt455",widgetVar:"widget_formSmash_j_idt455",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt467",{id:"formSmash:j_idt467",widgetVar:"widget_formSmash_j_idt467",multiple:true});
##### Note

##### In thesis

This work investigates the applicability of the randomized quasi-Monte Carlo method for simulation of fast-ion thermalization processes in fusion plasmas, e.g. for simulation of neutral beam injection and radio frequency heating. In contrast to the standard Monte Carlo method, the quasi-Monte Carlo method uses deterministic numbers instead of pseudo-random numbers and has a statistical weak convergence close to O(N ^{-1}), where N is the number of markers. We have compared different quasi-Monte Carlo methods for a neutral beam injection scenario, which is solved by many realizations of the associated stochastic differential equation, discretized with the Euler-Maruyama scheme. The statistical convergence of the methods is measured for time steps up to 2 ^{14}.

QC 20121114. Updated from submitted to published.

Available from: 2012-03-13 Created: 2012-03-09 Last updated: 2013-04-05Bibliographically approved1. Variance reduction methods for numerical solution of plasma kinetic diffusion$(function(){PrimeFaces.cw("OverlayPanel","overlay509600",{id:"formSmash:j_idt731:0:j_idt735",widgetVar:"overlay509600",target:"formSmash:j_idt731:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Numerical solution of quasilinear kinetic diffusion equations in toroidal plasmas$(function(){PrimeFaces.cw("OverlayPanel","overlay614400",{id:"formSmash:j_idt731:1:j_idt735",widgetVar:"overlay614400",target:"formSmash:j_idt731:1:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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